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Popular >

simplify (\sqrt[4]{8x^3})^2

Solution

simplify

Solution

22 x x

Solution steps

Apply radical rule:

= ((8 x^{3})^{\frac{1}{4}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (8 x^{3})^{\frac{1}{4} \cdot 2}

\frac{1}{4} \cdot 2 = \frac{1}{2}

= (8 x^{3})^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 8 x^{3}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 8 x^{3}

8 = 22

= 22 x^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= 22 x^{2} x^{1}

Apply radical rule:

a \cdot b = a b

= 22 x^{2} x^{1}

Apply radical rule:

assuming

a \geq 0

x^{2} = x

= 22 x x^{1}

Apply rule

a^{1} = a

x^{1} = x

= 22 x x

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{8x^3})^2 ?
The solution to (\sqrt[4]{8x^3})^2 is 2sqrt(2)xsqrt(x)